Research ArticleOpen accessPhrase in the titleNilpotence and the Generalized Uncertainty Principle (S)Nikos KalogeropoulosWe point out that some of the proposed generalized/modified uncertainty principles originate from solvable, or nilpotent at appropriate limits, "deformations" of Lie algebras. We briefly comment on formal aspects related to the well-posedness of one of these algebras. We point out a potential relation of such algebras with Classical Mechanics in the spirit of the symplectic non-squeezing theorem. We also … …Space Science International, Vol. 1, Issue 2 · 23 Jan 2014 · 7,308 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA New Error Correction Intuitive Approach in Quantum Communications ProtocolsAris Skander, Merabtine Nadjim, Malek BenslamaQuantum Error Correction will be necessary for preserving coherent states against noise and other unwanted interactions in quantum computation and communication. We develop a general theory of quantum error correction based on encoding states into larger Hilbert spaces subject to known interactions. We obtain necessary and sufficient conditions for the perfect recovery of an encoded state after its degradation by … …American Journal of Applied Sciences, Vol. 4, Issue 8 · 31 Aug 2007 · 6,838 accessesView PDFCite
Research ArticleOpen accessIn the abstractBOOM: Rainbow’s Gravity as the Source of Light RefractionMohsen LutephyAli, A. F., Faizal, M., & Majumder, B. (2015). Absence of an effective Horizon for black holes in Gravity’s Rainbow. Europhysics Letters, 109(2), 20001. https://doi.org/10.1209/0295-5075/109/20001 Ali, A. F., & Khalil, M. M. (2015). A proposal for testing gravity’s rainbow. Europhysics Letters, 110(2), 20009. https://doi.org/10.1209/0295-5075/110/20009 Amelino-Camelia, G., Ellis, J., Mavromatos, N. E., & Nanopoulos, D. V. (1997). Distance Measurement and Wave … …Physics International, Vol. 12, Issue 1 · 23 Dec 2021 · 8,252 accessesView PDFCite
Research ArticleOpen accessIn the abstractMultiparameterized Soft SetAbdul Razak Salleh, Shawkat Alkhazaleh, Nasruddin Hassan, Abd Ghafur AhmadProblem statement: In 1999 Molodtsov introduced the concept of a soft set as a general mathematical tool for dealing with uncertainty. The solutions of such problems involve the use of mathematical principles based on uncertainty and imprecision. Approach: In this study we recall the definition of a soft set, its properties and its operations. Results: As a generalization of Molodtsov’s … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 7 Feb 2012 · 7,626 accessesView PDFCite
Research ArticleOpen accessIn the abstractTrade and Precaution: Their Progressive InterlaceIsh Puneet SinghProblem statement: The principle of precaution has developed in International Law, as it has been present in either explicit or implicit forms in most of the celebrated international treaties dealing with the protection of the environment, over the past two decades. In spite of the huge recognition that this principle has got through incorporation, in the international order, this principle … …American Journal of Economics and Business Administration, Vol. 1, Issue 4 · 31 Dec 2009 · 7,945 accessesView PDFCite